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| 1. | a. |
 |
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| b. |
 |
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| = 1/2
· (5p -
6) + 1/3 ·(p + 2) = 21/2p - 3 + 1/3p + 2/3 = 25/6 p - 21/3 |
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| c. |
 |
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| = 14/3
· y + 5/4
· y = 71/12 · y |
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| d. |
 |
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| = x
· x · 4/5
+ 3 · 1/2 · x2 + 7/2 · x · x = 4/5x2 + 3/2x2 + 7/2x2 5,8x2 |
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| 2. | a. | 2005 is t
= 10 J = 5,2 · (11 · 10 + 40)/(10 + 3) = 60% M = (62 · 10 + 294)/(10 + 7) = 53,8% Het aantal meisjes dat slaagt is 6,2% lager. |
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| b. | Y1 = 5,2 * (11X +
40)/(X+3) Y2 = (62X + 294)/(X + 7) calc - intersect geeft X = 30,65 Dat is dus in 2035-2036 |
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| c. |
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| 3. | a. | 1,2/2
· n = 0,6n Dus 60% verdwijnt. |
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| b. | K(n) =
n + 2,1/4,8 ·(n
- 80000) -
0,6/2 · n K(n) = n + 0,4375(n - 80000) - 0,3n K(n) = n + 0,4375n - 35000 - 0,3n K(n) = 1,1375n - 35000 |
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| c. | K(n) =
n + 2,1/4,8 ·(n
- 80000) -
c/2 · n K(n) = n + 0,4375(n - 80000) - 0,5cn K(n) = n + 0,4375n - 35000 - 0,5cn K(n) = (1,4375 - 0,5c)n - 35000 1,4375 - 0,5c = 0,79 0,5c = 0,6475 c = 1,295 b = -35000 |
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| d. | 90000 = n +
2,1/4,8 ·(n
- 80000) -
0,7/2 · n 90000= n + 0,4375(n - 80000) - 0,35n 90000 = n + 0,4375n - 35000 - 0,35n 90000 = 1,0875n - 35000 125000 = 1,0875n n = 125000/1,0875 = 115000 |
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© h.hofstede (h.hofstede@hogeland.nl) |
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